A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.
A
153\(\pi\)cm3
B
207\(\pi\)cm3
C
15 300\(\pi\)cm3
D
20 700\(\pi\)cm3
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Volume of a cylinder = \pir\(^2\)h
First convert 3m to cm by multiplying by 100
Volume of External cylinder = \(\pi \times 13^2 \times 300\)
Volume of Internal cylinder = \(\pi \times 10^2 \times 300\)
Hence; Volume of External cylinder - Volume of Internal cylinder
Total volume (v) = \(\pi (169 - 100) \times 300\)
V = \(\pi \times 69 \times 300\)
V = 20700\picm\(^3\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60696)